The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 X a^2*X 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 X 1 0 1 1 1 1 1 1 X 1 1 1 1 X 0 1 1 a^2*X 1 X a^2*X 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 a^2*X a^2*X 1 X 1 1 1 X 1 0 1 1 0 1 1 a a^2 0 a^2*X+1 a^2*X+a^2 a 1 0 a^2*X+1 a 1 a^2*X+a^2 X X+a a^2*X+a^2 a^2*X+1 1 1 a a^2*X+a^2 1 a^2*X+a a^2 0 a 0 a*X+1 1 a^2*X a*X+a^2 X a^2*X+a X+a^2 1 a^2 1 a^2*X+a a^2*X+1 1 X X a 1 a*X a*X+a^2 1 X+a^2 1 1 a^2*X+a X 1 a*X 1 1 X+1 a^2*X+a 1 a^2 a*X+a^2 a^2*X+1 1 a^2*X+1 a^2*X+1 X+a^2 1 a*X+a X+a^2 X+1 1 a*X+a^2 1 a^2 1 a^2*X+1 a*X+a^2 0 a^2*X+a^2 1 1 a*X 1 a*X+a a^2 a^2*X+a 1 X+1 1 X+a^2 a*X+1 0 0 a^2*X 0 0 0 X X X X X X a^2*X a^2*X a*X X a^2*X a*X a^2*X a*X 0 a^2*X a^2*X X 0 0 a*X a*X a^2*X a*X a*X 0 X X a*X a*X 0 a*X X 0 a*X a^2*X a*X X X a*X a^2*X a^2*X a^2*X X X a^2*X 0 X X 0 0 0 a*X a^2*X a*X 0 a*X a*X 0 X 0 0 X 0 a*X a^2*X a^2*X 0 a^2*X X a^2*X 0 0 a^2*X a*X 0 X a*X a*X X a^2*X a*X 0 X X a*X X 0 0 0 X 0 X a^2*X 0 X a^2*X X 0 a*X a^2*X 0 a^2*X 0 0 a*X a^2*X a*X X X 0 a^2*X a*X a*X 0 X 0 a^2*X X a*X a*X X X a^2*X 0 a*X X a*X a*X X 0 a^2*X a*X a^2*X a^2*X 0 0 a^2*X a^2*X a^2*X X 0 0 X a*X X a*X a*X 0 a*X 0 a*X a*X X 0 0 X a*X X a^2*X a*X a*X X X X a^2*X 0 a^2*X X 0 0 a*X a*X X a^2*X 0 a*X X a*X X 0 0 0 0 a^2*X a^2*X X a^2*X a*X 0 a^2*X X X a*X X a*X X a*X a^2*X a^2*X a^2*X a^2*X 0 a*X 0 a^2*X a^2*X 0 a*X a*X 0 a*X X 0 a*X 0 a*X a^2*X X a*X 0 a*X a^2*X a*X 0 a^2*X X 0 a*X X a*X a^2*X a*X 0 X a*X a^2*X a*X a*X 0 a*X 0 X a^2*X 0 a^2*X X X 0 a^2*X a*X 0 X a*X X X a^2*X a*X 0 0 X X 0 X 0 X X X a*X X 0 a^2*X 0 generates a code of length 93 over F4[X]/(X^2) who´s minimum homogenous weight is 264. Homogenous weight enumerator: w(x)=1x^0+447x^264+300x^266+1194x^268+756x^270+1647x^272+1044x^274+1677x^276+1296x^278+1464x^280+1140x^282+1620x^284+1044x^286+1191x^288+492x^290+606x^292+72x^294+243x^296+51x^300+15x^304+12x^308+42x^312+15x^316+6x^320+9x^324 The gray image is a linear code over GF(4) with n=372, k=7 and d=264. This code was found by Heurico 1.16 in 2.93 seconds.